Marcus is selling lemonade and peanuts. Each cup of lemonade costs $0.75, and each bag of peanuts costs $0.35. On Saturday,
Marcus sold 5 more cups of lemonade than bags of peanuts. He
earned 57.05. How many cups of lemonade did Marcus sell on
Saturday?

8 cups of lemonade

Step-by-step explanation:

Let us assume x be the number of bags of peanuts.

And, y be the number of cups of lemonade.

Now the equations are  

0.35x + 0.75y= $7.05

And,  

y = x+5

Now solve it  by substitution method.

0.35x + 0.75(x+5) = 7.05

0.35x + 0.75x + 3.75 = 7.05

1.1x = 7.05 - 3.75

1.1x = 3.3

x = 3.3 ÷ 1.1

= 3

Now for

y = x+5

= 3+5

= 8

33

step-by-step explanation: g=6

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions